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Difficulty: EasyScrews and Threads

A jackscrew used for lifting heavy loads has a thread pitch of 18\frac{1}{8} inch. How far will the load be lifted if the screw is turned exactly 4 complete revolutions?

  1. 12\frac{1}{2} inchAnswer
  2. B
    18\frac{1}{8} inch
  3. C
    4 inches
  4. D
    32 inches

Answer

The load will be lifted 12\frac{1}{2} inch.
The pitch of a screw indicates how far it will move linearly with one full revolution. To find the total distance the load is lifted, multiply the pitch by the number of complete revolutions. In this case, multiplying 18\frac{1}{8} inch by 4 revolutions equals 48\frac{4}{8} inch, which simplifies to 12\frac{1}{2} inch.

Step-by-Step Solution

1
Identify the distance the screw travels in one revolution.
The screw travels 18\frac{1}{8} inch per revolution.
The pitch of a screw defines its linear travel distance for exactly one 360360-degree turn.
2
Calculate the total distance for the given number of revolutions.
Multiply the pitch (18\frac{1}{8} inch) by the number of revolutions (4).
The total linear distance is the product of the pitch and the total number of revolutions.
3
Solve the multiplication.
4×18=48=124 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} inch.
Simplifying the fraction gives the final total travel distance.

Key Concept

Screw Pitch and Linear Travel
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Topics

Screws and Threads

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